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Simplifying (-5x + -7)(x + 5) = 0 Reorder the terms: (-7 + -5x)(x + 5) = 0 Reorder the terms: (-7 + -5x)(5 + x) = 0 Multiply (-7 + -5x) * (5 + x) (-7(5 + x) + -5x * (5 + x)) = 0 ((5 * -7 + x * -7) + -5x * (5 + x)) = 0 ((-35 + -7x) + -5x * (5 + x)) = 0 (-35 + -7x + (5 * -5x + x * -5x)) = 0 (-35 + -7x + (-25x + -5x2)) = 0 Combine like terms: -7x + -25x = -32x (-35 + -32x + -5x2) = 0 Solving -35 + -32x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 32x + 5x2) = 0 Factor a trinomial. -1((5 + x)(7 + 5x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {-5, -1.4}
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